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White-light interferometry using a channeled spectrum. 2. Calibration methods, numerical and experimental results.

Chengxing Zhai1, Mark H Milman, Martin W Regehr

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This study calibrates key parameters for a white light interference model, improving astrometric observations. The new method refines algorithms for precise measurements using simulated and real interferometer data.

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Area of Science:

  • Optical Engineering
  • Interferometry
  • Astrometry

Background:

  • A prior study established a white light interference model using source and instrument transmission function moments.
  • Accurate calibration of these moment parameters and instrument dispersion is crucial for model application.

Purpose of the Study:

  • To develop and implement an end-to-end calibration process for moment parameters and differential dispersion.
  • To apply these calibrated parameters to existing white light interference algorithms for enhanced astrometric observations.

Main Methods:

  • Pixel-level monochromatic parameters (wavenumber, phase, intensity, visibility) are obtained using nonlinear least-squares fitting.
  • These pixel-level parameters are aggregated to determine global moment and dispersion parameters.
  • The calibration procedure is validated on simulated astrometric data and experimental results from the microarcsecond metrology testbed (MAM).

Main Results:

  • Successful calibration of moment parameters and differential dispersion was achieved.
  • The developed calibration process was effectively applied to both simulated and real interferometer data.
  • The refined model demonstrated improved accuracy for astrometric observations.

Conclusions:

  • The end-to-end calibration process enables accurate determination of essential parameters for white light interference models.
  • This methodology enhances the performance of astrometric algorithms, particularly in precision measurement applications.
  • The validated approach contributes to the advancement of interferometer technology for high-precision metrology.